Search a number
-
+
33113121123312 = 243376650743341
BaseRepresentation
bin1111000011101101111111…
…10100100110101111110000
311100020120202100022111121000
413201312333310212233300
513320011133001421222
6154231542521002000
76655226003336526
oct741667764465760
9140216670274530
1033113121123312
11a607217686a9a
123869665323300
131562727c7b879
1482697db9c316
153c65356329ac
hex1e1dbfd26bf0

33113121123312 has 40 divisors (see below), whose sum is σ = 95046921744080. Its totient is φ = 11037707040960.

The previous prime is 33113121123311. The next prime is 33113121123323. The reversal of 33113121123312 is 21332112131133.

33113121123312 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 312 + 1 + 12 + 331 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33113121123311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38325371239 + ... + 38325372102.

It is an arithmetic number, because the mean of its divisors is an integer number (2376173043602).

Almost surely, 233113121123312 is an apocalyptic number.

It is an amenable number.

33113121123312 is an abundant number, since it is smaller than the sum of its proper divisors (61933800620768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33113121123312 is a wasteful number, since it uses less digits than its factorization.

33113121123312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76650743358 (or 76650743346 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

Adding to 33113121123312 its reverse (21332112131133), we get a palindrome (54445233254445).

The spelling of 33113121123312 in words is "thirty-three trillion, one hundred thirteen billion, one hundred twenty-one million, one hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 76650743341 153301486682 229952230023 306602973364 459904460046 613205946728 689856690069 919808920092 1226411893456 1379713380138 1839617840184 2069570070207 2759426760276 3679235680368 4139140140414 5518853520552 8278280280828 11037707041104 16556560561656 33113121123312